Least Common Multiple of 8178 and 8182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8178 and 8182 the smallest integer that is 33456198 that is divisible by both numbers.

Least Common Multiple (LCM) of 8178 and 8182 is 33456198.

LCM(8178,8182) = 33456198

LCM of 8178 and 8182

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8178 and 8182

LCM of 8178 and 8182 is 33456198

Least common multiple can be found by multiplying the highest exponent prime factors of 8178 and 8182. First we will calculate the prime factors of 8178 and 8182.

Prime Factorization of 8178


2 8178
3 4089
29 1363
47 47
1

Prime factors of 8178 are 2, 3, 29,47. Prime factorization of 8178 in exponential form is:

8178 = 21×31×291×471

Prime Factorization of 8182


2 8182
4091 4091
1

Prime factors of 8182 are 2,4091. Prime factorization of 8182 in exponential form is:

8182 = 21×40911

Now multiplying the highest exponent prime factors to calculate the LCM of 8178 and 8182.

LCM(8178,8182) = 21×31×291×471×40911
LCM(8178,8182) = 33456198

Factors of 8178

List of positive integer factors of 8178 that divides 8178 without a remainder.

1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178

Factors of 8182

List of positive integer factors of 8182 that divides 8182 without a remainder.

1, 2, 4091, 8182

Least Common Multiple of 8178 and 8182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8178 and 8182, than apply into the LCM equation.

GCF(8178,8182) = 2
LCM(8178,8182) = ( 8178 × 8182) / 2
LCM(8178,8182) = 66912396 / 2
LCM(8178,8182) = 33456198

Properties of LCM 8178 and 8182

(i) The LCM of 8182 and 8178 is associative

LCM of 8178 and 8182 = LCM of 8182 and 8178

Related Least Common Multiples of 8178

Related Least Common Multiples of 8182

Frequently Asked Questions on LCM of 8178 and 8182

1. What is the LCM of 8178 and 8182?

Answer: LCM of 8178 and 8182 is 33456198.

2. What are the Factors of 8178?

Answer: Factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178. There are 16 integers that are factors of 8178. The greatest factor of 8178 is 8178.

3. What are the Factors of 8182?

Answer: Factors of 8182 are 1, 2, 4091, 8182. There are 4 integers that are factors of 8182. The greatest factor of 8182 is 8182.

4. How to Find the LCM of 8178 and 8182?

Answer:

Least Common Multiple of 8178 and 8182 = 33456198

Step 1: Find the prime factorization of 8178

8178 = 2 x 3 x 29 x 47

Step 2: Find the prime factorization of 8182

8182 = 2 x 4091

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 33456198 = 2 x 3 x 29 x 47 x 4091

Step 4: Therefore, the least common multiple of 8178 and 8182 is 33456198.